collaborators

5 papers

math.NA2025

Fast Convolutions on via Radial Translational Dependence and Classical FFT

Arash Ghaani Farashahi, Gregory S. Chirikjian

Let denote the right coset space of the subgroup consisting of translational isometries of the orthogonal lattice in the non-Abelian g…

math.FA2024

Non-Abelian Fourier Analysis on

Arash Ghaani Farashahi, Gregory S. Chirikjian

This paper presents a systematic study for the general theory of non-Abelian Fourier series of integrable functions on the homogeneous space , where $SE(d…

math.NA2023

Asymptotically Steerable Finite Fourier-Bessel Transforms and Closure under Convolution

Arash Ghaani Farashahi, Gregory S. Chirikjian

This paper develops a constructive numerical scheme for Fourier-Bessel approximations on disks compatible with convolutions supported on disks. We address accurate finite Fourier-B…

math.FA2012

Continuous Gabor transform for semi-direct product of locally compact groups

Arash Ghaani Farashahi

Let be a locally compact group, be an LCA group, be a continuous homomorphism and be the semi-direct product of and with respect t…

math.FA2012

Zak Transform for Semidirect Product of Locally Compact Groups

Arash Ghaani Farashahi, Ali Akbar Arefijamaal

Let be a locally compact group and be an LCA group also let be a continuous homomorphism and be the semidirect product of and with…